To simplify \( 7(6 + 5) \) using the Distributive Property, you can distribute the \( 7 \) to both \( 6 \) and \( 5 \):
\[ 7(6 + 5) = 7 \cdot 6 + 7 \cdot 5 \]
Now calculate each term:
\[ 7 \cdot 6 = 42 \] \[ 7 \cdot 5 = 35 \]
Now, add the two results together:
\[ 42 + 35 = 77 \]
Thus, the simplified expression is:
\[ 7(6 + 5) = 77 \]